Quaternion Hankel Transform and its Generalization

Khinal Parmar; V. R. Lakshmi Gorty

Quaternion Hankel Transform and its Generalization

Publish place: Sahand Communications in Mathematical Analysis، Vol: 21، Issue: 1

Publish Year: 1403

نوع سند: مقاله ژورنالی

زبان: English

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https://civilica.com/doc/1873344

شناسه ملی سند علمی:

JR_SCMA-21-1_004

تاریخ نمایه سازی: 11 دی 1402

Abstract:

In this study, the quaternion Hankel transform is developed. Basic operational properties and inversion formula of quaternion Hankel transform are derived. Parseval’s relation for this transform is also established. The generalized quaternion Hankel transform is presented. In the concluding section, we demonstrate the application of the quaternion Hankel transform to Cauchy’s problem.

Keywords:

Hankel transform , Quaternion , Parseval's relation , generalization

Authors

Khinal Parmar

Department of Basic Science and Humanities, NMIMS, MPSTME, Vile-Parle (West), Mumbai-۴۰۰۰۵۶, Maharashtra, India.

V. R. Lakshmi Gorty

Department of Basic Science and Humanities, NMIMS, MPSTME, Vile-Parle (West), Mumbai-۴۰۰۰۵۶, Maharashtra, India.

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